{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:WTXBQWNERWLTFSSMHHVKGHFXGL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"8ad5550eaa0671affc65dbf0300e0c91bee5623fa229d4730c4ab3890d0eb4fb","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-03-18T01:51:41Z","title_canon_sha256":"1a8d5c757e6a255199d9b650df3e12f4083692dfb86dbe15b8223fcd21872deb"},"schema_version":"1.0","source":{"id":"0903.3074","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0903.3074","created_at":"2026-05-18T04:42:23Z"},{"alias_kind":"arxiv_version","alias_value":"0903.3074v1","created_at":"2026-05-18T04:42:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.3074","created_at":"2026-05-18T04:42:23Z"},{"alias_kind":"pith_short_12","alias_value":"WTXBQWNERWLT","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_16","alias_value":"WTXBQWNERWLTFSSM","created_at":"2026-05-18T12:26:02Z"},{"alias_kind":"pith_short_8","alias_value":"WTXBQWNE","created_at":"2026-05-18T12:26:02Z"}],"graph_snapshots":[{"event_id":"sha256:b3afba6676d9a1f17aa009e4a00e205536c2bb698f4cb7af11e19915c5fc817d","target":"graph","created_at":"2026-05-18T04:42:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"For an equation of state in which pressure is a function only of density, the analysis of Newtonian stellar structure is simple in principle if the system is axisymmetric, or consists of a corotating binary. It is then required only to solve two equations: one stating that the \"injection energy\", $\\kappa$, a potential, is constant throughout the stellar fluid, and the other being the integral over the stellar fluid to give the gravitational potential. An iterative solution of these equations generally diverges if $\\kappa$ is held fixed, but converges with other choices. We investigate the math","authors_text":"Charalampos Markakis, John L. Friedman, Richard H. Price","cross_cats":["gr-qc","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-03-18T01:51:41Z","title":"Iteration Stability for Simple Newtonian Stellar Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.3074","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:3a4a5b041637041353623622c3fdeba6c328f333d5f4724eac5c871dc74ff426","target":"record","created_at":"2026-05-18T04:42:23Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"8ad5550eaa0671affc65dbf0300e0c91bee5623fa229d4730c4ab3890d0eb4fb","cross_cats_sorted":["gr-qc","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2009-03-18T01:51:41Z","title_canon_sha256":"1a8d5c757e6a255199d9b650df3e12f4083692dfb86dbe15b8223fcd21872deb"},"schema_version":"1.0","source":{"id":"0903.3074","kind":"arxiv","version":1}},"canonical_sha256":"b4ee1859a48d9732ca4c39eaa31cb732d21f61d8bed3c97e30a9be3cb9d6ead5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b4ee1859a48d9732ca4c39eaa31cb732d21f61d8bed3c97e30a9be3cb9d6ead5","first_computed_at":"2026-05-18T04:42:23.178465Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:23.178465Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ivhrAttEeA2rE/cRWx3SKD6pLbRzX0rt3bT30LkeCK33NbwX/5Ch5uPDwZ02JQBod2BOomJUsytU8GkakyPZCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:23.178950Z","signed_message":"canonical_sha256_bytes"},"source_id":"0903.3074","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3a4a5b041637041353623622c3fdeba6c328f333d5f4724eac5c871dc74ff426","sha256:b3afba6676d9a1f17aa009e4a00e205536c2bb698f4cb7af11e19915c5fc817d"],"state_sha256":"f6a029fa91b4a4e667911d001863d8a402de09d7584f076070b24de1742c2a9f"}